There are 32 chocolates in a box, all identically shaped. There 11 are filled with nuts, 8 with caramel, and 13 aresolid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability ofselecting 2 nut candies.
A) $\frac { 55 } { 496 }$
B) $\frac { 121 } { 1024 }$
C) $\frac { 13 } { 992 }$
D) $\frac { 55 } { 512 }$

Question

There are 32 chocolates in a box, all identically shaped. There 11 are filled with nuts, 8 with caramel, and 13 aresolid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability ofselecting 2 nut candies. 
A) $\frac { 55 } { 496 }$
B) $\frac { 121 } { 1024 }$
C) $\frac { 13 } { 992 }$
D) $\frac { 55 } { 512 }$

Quizplus · Accepted Answer

The probability of selecting 2 nut candies is calculated by multiplying the probability of selecting a nut candy on the first draw by the probability of selecting another nut candy on the second draw, considering one less nut candy and one less total candy after the first draw. The calculation is $\frac{11}{32} \times \frac{10}{31} = \frac{110}{992} = \frac{55}{496}$.

There Are 32 Chocolates in a Box, All Identically Shaped 55496\frac { 55 } { 496 }49655​

There Are 32 Chocolates in a Box, All Identically Shaped $\frac { 55 } { 496 }$